ECAT Pre Engineering MCQ Test With Answer for Chapter 2 Mathematics

• 
  A
• 
  B
• 
  C
• 
  D

What is the number of elements of the power set of { }

• 0 A
• 1 B
• 2 C
• 3 D

A = B iff

• All elements of A also the elements of B A
• A and B should be singleton B
• A and B have the same number of elements C
• If both have the same element D

If x = 1/x for x ∈ R then the value of x is

• ±1 A
• 0 B
• 2 C
• 4 D

• A = C A
• A = B B
• B = C C
• None of these D

The set of complex numbers forms

• Commutative group w.r.t addition A
• Commutative group w.r.t multiplication B
• Commutative group w.r.t division C
• Non commutative group w.r.t addition D

• Singleton set A
• A set with two points B
• Empty set C
• None of these D

Multiplicative inverse of 0 is

• 0 A
• 1 B
• +-1 C
• Does not exist D

Every set is an improper subset of

• Empty set A
• Equivalent set B
• Itself C
• Singleton set D

• 
  A
• 
  B
• 
  C
• 
  D

The number of subsets of a set having three elements is

• 4 A
• 6 B
• 8 C
• none of these D

The total number of subsets that can be formed out of the set {a, b, c} is

• 1 A
• 4 B
• 8 C
• 12 D

• 
  A
• 
  B
• 
  C
• 
  D

The graph of a quadratic function is

• Circle A
• Ellipse B
• Parabola C
• Hexagon D

The set (Q, .)

• Forms a group A
• Does not form a group B
• Contains no additive identity C
• Contains no additive inverse D

In a country, 55% of the male population has houses in cities while 30% have houses both in cities and in village. Find the percentage of the population that has house only in villages.

• 45 A
• 30 B
• 25 C
• 50 D

If B-A≠φ , then n(B-A) is equal to

• n(a)+n(c) A
• n(c)-n(a) B
• n(a)-n(c) C
• None of these D

The negation of given number is a

• Binary operation A
• Unary operation B
• Relation C
• None of these D

• A = B A
• B = C B
• A = C C
• None of these D

The set (Z,+) forms a group

• Forms a group w.r.t addition A
• Non commutative group w.r.t multiplication B
• Forms a group w.r.t multiplication C
• Doesn't form a group D

The set of months in a year beginning with S.

• {September, October, November} A
• Singleton set B
• Null set C
• Empty set D

A disjunction of two statement p and q is true

• p is false A
• q is false B
• Both p and q are false C
• One of p and q is true D

If f:A→B is an injective function and second elements of no two of its ordered pairs are equal, then f is called

• 1-1 and onto A
• Bijective B
• 1-1 and into C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following is the definition of singleton

• The objects in a set A
• A set having no element B
• A set having no subset C
• None of these D

Identity w.r.t intersection in a power set of any set is

• ∅ A
• Set itself B
• Singleton set C
• {0} D

{0} is a

• Empty set A
• Singleton set B
• Zero set C
• Null Set D

• Addition A
• Subtraction B
• Multiplication C
• None of these D

0 is a symbol of

• singleton set A
• Empty set B
• Equivalent set C
• Infinite set D

The complement of set A relative to universal set U is the set

• 
  A
• 
  B
• 
  C
• 
  D